3 research outputs found
Finite-Temperature Fluid-Insulator Transition of Strongly Interacting 1D Disordered Bosons
We consider the many-body localization-delocalization transition for strongly
interacting one- dimensional disordered bosons and construct the full picture
of finite temperature behavior of this system. This picture shows two
insulator-fluid transitions at any finite temperature when varying the
interaction strength. At weak interactions an increase in the interaction
strength leads to insulator->fluid transition, and for large interactions one
has a reentrance to the insulator regime
Finite temperature phase transition for disordered weakly interacting bosons in one dimension
It is commonly accepted that there are no phase transitions in
one-dimensional (1D) systems at a finite temperature, because long-range
correlations are destroyed by thermal fluctuations. Here we demonstrate that
the 1D gas of short-range interacting bosons in the presence of disorder can
undergo a finite temperature phase transition between two distinct states:
fluid and insulator. None of these states has long-range spatial correlations,
but this is a true albeit non-conventional phase transition because transport
properties are singular at the transition point. In the fluid phase the mass
transport is possible, whereas in the insulator phase it is completely blocked
even at finite temperatures. We thus reveal how the interaction between
disordered bosons influences their Anderson localization. This key question,
first raised for electrons in solids, is now crucial for the studies of atomic
bosons where recent experiments have demonstrated Anderson localization in
expanding very dilute quasi-1D clouds.Comment: 8 pages, 5 figure
Anderson localization in Bose-Einstein condensates
The understanding of disordered quantum systems is still far from being
complete, despite many decades of research on a variety of physical systems. In
this review we discuss how Bose-Einstein condensates of ultracold atoms in
disordered potentials have opened a new window for studying fundamental
phenomena related to disorder. In particular, we point our attention to recent
experimental studies on Anderson localization and on the interplay of disorder
and weak interactions. These realize a very promising starting point for a
deeper understanding of the complex behaviour of interacting, disordered
systems.Comment: 15 pages review, to appear in Reports on Progress in Physic